Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k...

Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k at the point P ( 1, (2/3) , 1)

Expert Solution

milcah answered 2 years ago

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3)...

Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3) (t3), t > , < 4, -16/3, -2>

Find the length of the curve. 2 t i + et j + e−t k, 0 ≤...

Find the length of the curve. 2 t i + et j + e−t k, 0 ≤ t ≤ 5

4. Let r(?) = �?, 4 3 ? 3/2, ?2 �. (a) Find T, N, and...

4. Let r(?) = �?, 4 3 ? 3/2, ?2 �. (a) Find T, N, and B at the point corresponding to ? = 1. (b) Find the equation of the osculating plane at the point corresponding to ? = 1. (c) Find the equation of the normal plane at the point corresponding to ? = 1

The position of a particle is r={(3t3−2t)i−(4t1/2+t)j+(3t2−2)k}m, where t is in seconds. Part A Determine the...

The position of a particle is r={(3t3−2t)i−(4t1/2+t)j+(3t2−2)k}m, where t is in seconds. Part A Determine the magnitude of the particle's velocity when t = 0.5 s . Express your answer with the appropriate units. v=? Part B Determine the magnitude of the particle's acceleration when t = 0.5 s . Express your answer with the appropriate units. a=?

where R=8.314 J/(mol⋅K), T is the Kelvin temperature, n is the number of moles of electrons...

where R=8.314 J/(mol⋅K), T is the Kelvin temperature, n is the number of moles of electrons transferred in the reaction, and F=96,485 C/mol e−. At 68.0 ∘C , what is the maximum value of the reaction quotient, Q, needed to produce a non-negative E value for the reaction SO42−(aq)+4H+(aq)+2Br−(aq)⇌Br2(aq)+SO2(g)+2H2O(l) In other words, what is Q when E=0 at this temperature? Express your answer numerically to two significant figures.

Let S=$32, K=$33, r=4%, σ=25%, δ=0, T=0.5 year, and n=2. a.) Find u and d. b.)...

Let S=$32, K=$33, r=4%, σ=25%, δ=0, T=0.5 year, and n=2. a.) Find u and d. b.) Use the risk neutral probability to find the price of a European put c.) Use the risk neutral probability to find the price of an American put.

Let ¯r(t) = < t, t^2 , t^3 >be a twisted cubic. a) Find the osculating...

Let ¯r(t) = < t, t^2 , t^3 >be a twisted cubic. a) Find the osculating circle for this twisted cubic at t = 0. b) Try to do the same for the ordinary cubic parabola ¯r(t) = <t, 0, t^3 >. Explain why did you fail to do that.

Velocity field for this system is: V=[X^2-(yz^1/2/t)]i-[zy^3+(x^1/3z^2/t^1/2)j+[-x^1/3t^2/z*y^1/2]k find the components of acceleration for the system.

Velocity field for this system is: V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k find the components of acceleration for the system.

Find T(t), N(t), aT, and aN at the given time t for the space curve r(t)....

Find T(t), N(t), aT, and aN at the given time t for the space curve r(t). [Hint: Find a(t), T(t), aT, and aN. Solve for N in the equation a(t)=aTT+aNN. (If an answer is undefined, enter UNDEFINED.) Function Time r(t)=9ti-tj+(t^2)k t=-1 T(-1)= N(-1)= aT= aN=

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the average velocity for the time interval from 1.00 s to 3.00 s. (b) Find the instantaneous velocity at t = 1.00 s. (c) Find the average acceleration from 1.00 s to 3.00 s. (d) Find the instantaneous acceleration at t = 1.00 s.

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